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Finding the Third Proportional to 42,913 and 89,746

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Solution

The third proportional to 42,913 and 89,746 is: 187,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,913 : 89,746 = 89,746 : x
  2. Step 2: Convert to fraction form
    42,913/89,746 = 89,746/x
  3. Step 3: Cross multiply
    42,913x = 89,746 × 89,746
  4. Step 4: Simplify right side
    42,913x = 8,054,344,516
  5. Step 5: Solve for x
    x = 8,054,344,516/42,913
  6. Step 6: Final answer
    x = 187,690.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.